Wireless　sensor　networks　(WSNs)　are　networks　of　autonomous　nodes　used　for　monitoring　an　environment.　Topology　control　is　one　of　the　most　fundamental　problems　in　WSNs.　To　overcome　high　connectivity　redundancy　and　low　structure　robustness　in　traditional　methods,　a　PSO-optimized　minimum　spanning　tree-based　topology　control　scheme　is　proposed　in　this　paper.　In　the　proposed　scheme,　we　transform　the　problem　into　a　model　of　multicriteria　degree　constrained　minimum　spanning　tree　(mcd-MST)　and　design　a　nondominated　discrete　particle　swarm　optimization　(NDPSO)　to　deal　with　this　problem.　To　obtain　a　better　approximation　of　true　Pareto　front,　the　multiobjective　strategy　with　a　fitness　function　based　on　niche　and　phenotype　sharing　function　is　applied　in　NDPSO.　Furthermore,　a　topology　control　scheme　based　on　NDPSO　is　proposed.　Simulation　results　show　that　NDPSO　can　converge　to　the　non-dominated　front　quite　evenly,　and　the　topology　derived　under　the　proposed　topology　control　scheme　has　lower　total　power　consumption,　higher　robust　structure,　and　lower　contention　among　nodes.　©　2013　Wenzhong　Guo　et　al.